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Since a solution of so-called one-particle problem is a base for each self-consistent method, we solved this problem as a first step for spheroidal inhomogeneity in a transversely isotropic medium.
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To demonstrate the method, we solve several model problems selected from the fields of atomic and nuclear physics.
Finally, using dual decomposition method, we solve the problem and propose a distributed temporal-aware algorithm called TARC-SD that optimally allocates the shared bandwidth to the sources.
Finally, using primal dual method, we solve DNUM problem and propose a distributed algorithm called CA-DNUM that optimally allocates the shared bandwidth to video streams.
Then, based on Gröbner basis method, we solve the solution of polynomial equation directly, and then the attitude is calculated by back-substitution method.
To illustrate the reliability of this method, we solve some important equations of fractional order, and present numerical results of the present method to show convergence rate, applicability and reliability of this method.
In our self-consistent IMEX method, we solve the hydrodynamics equations inside the implicit block as part of the nonlinear function evaluation making use of the Jacobian-free Newton Krylov (JFNK) method [5], [20], [17].
To show convergence of the proposed method we solve Example 4.1 using shifted Legandre collocation method.
To show the applicability and efficiency of the proposed method, we solve some fractional differential equations.
with Similarly for the modified TV method, we solve the alternating minimization problem (11).
To illustrate efficiency and accuracy of presented method, we solve some real-world problems.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com